
where \(\Gamma _A\)  is a codimension-2 minimal hypersurface, called Ryu-Takayanagi surface (RT-surface), in the bulk whose boundary coincides with the boundary of region \(A\) . In [1]} the behavior of the HEE is studied in three dilaton potentials, by choosing suitable parameters to the scalar self interaction potential, and they showed that the HEE can be characterize the crossover/ phase transition.
